Many-body effects on superconductivity mediated by double-magnon processes in altermagnets
arXiv:2402.14061 · doi:10.1103/PhysRevB.109.134515
Abstract
Altermagnets exhibit a large electron spin splitting which can be understood as a result of strong coupling between itinerant electrons and localized spins. We consider superconductivity due to electron-magnon scattering, using strong-coupling Eliashberg theory to capture many-body effects that are not covered by a weak-coupling approach. The characteristic band structure of altermagnets puts significant constraints on the spin structure of electron scattering on the Fermi surface. We emphasize the role of spin-preserving, double-magnon scattering processes compared to conventional spin-flip processes involving a single magnon. Then, we derive the Eliashberg equations for a situation where double-magnon scattering mediates spin-polarized Cooper pairs, while both double-magnon and single-magnon scatterings contribute to many-body effects. These many-body effects impact superconducting properties in a way that differs significantly from systems where conventional spin-flip processes mediate superconductivity. To highlight the role of -wave magnetism on superconductivity in altermagnets, we compare our results to those found in ferromagnetic half-metals and conventional antiferromagnetic metals.
23 pages, 9 figures, accepted in Physical Review B
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